| Base | Representation |
|---|---|
| bin | 101100101010… |
| … | …0110001110000 |
| 3 | 1122001122121022 |
| 4 | 1121110301300 |
| 5 | 21443302140 |
| 6 | 2153515012 |
| 7 | 403013663 |
| oct | 131246160 |
| 9 | 48048538 |
| 10 | 23415920 |
| 11 | 12243800 |
| 12 | 7a12a68 |
| 13 | 4b0b198 |
| 14 | 31776da |
| 15 | 20c80b5 |
| hex | 1654c70 |
23415920 has 120 divisors (see below), whose sum is σ = 62339760. Its totient is φ = 8166400.
The previous prime is 23415911. The next prime is 23415929. The reversal of 23415920 is 2951432.
It is a Cunningham number, because it is equal to 48392-1.
It is an interprime number because it is at equal distance from previous prime (23415911) and next prime (23415929).
It is a self number, because there is not a number n which added to its sum of digits gives 23415920.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23415929) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396851 + ... + 396909.
It is an arithmetic number, because the mean of its divisors is an integer number (519498).
Almost surely, 223415920 is an apocalyptic number.
23415920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23415920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31169880).
23415920 is an abundant number, since it is smaller than the sum of its proper divisors (38923840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23415920 is a wasteful number, since it uses less digits than its factorization.
23415920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 135 (or 118 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 26.
The square root of 23415920 is about 4838.9998966729. Note that the first 3 decimals coincide. The cubic root of 23415920 is about 286.0907010154.
The spelling of 23415920 in words is "twenty-three million, four hundred fifteen thousand, nine hundred twenty".
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